Gce Model Questions Vol1 2020 Further Mathematics Question 22

Practice objective / multiple choice question 22 from the 2020 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2020 Further Mathematics Objective / Multiple Choice Easy Difficulty

Question 22 GCE_MODEL_QUESTIONS_VOL1 • 2020 • FURTHER_MATHEMATICS • objective

On the set \(S = \{0,1,2\}\) define a binary operation \(\) by \(a b = (a + b) \bmod 3\). (i) State whether \(\) is commutative. (ii) Find the identity element of \(\) (if it exists).

Answer Options

A. commutative; identity element 1

B. non-commutative; no identity element

C. non-commutative; identity element 0

Correct Answer D. commutative; identity element 0

Correct Answer

Correct Option:

commutative; identity element 0

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This is Gce Model Questions Vol1 2020 Further Mathematics Question 22. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Easy .

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Gce Model Questions Vol1 2020 Further Mathematics Question 22

On the set \(S = \{0,1,2\}\) define a binary operation \(*\) by \(a * b = (a + b) \bmod 3\). (i) State whether \(*\) is commutative. (ii) Find the identity element of \(*\) (if it exists).

Answer Options

About This Question

Master the Exam!

On the set \(S = \{0,1,2\}\) define a binary operation \(\) by \(a b = (a + b) \bmod 3\). (i) State whether \(\) is commutative. (ii) Find the identity element of \(\) (if it exists).